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2 years ago

Which values for x make this inequality true? −15x+4≤39

Mathematics

1 answer:

nadezda [96]2 years ago

8 0

Answer:

x ≥ -7/3

Step-by-step explanation:

<h3>General Formulas and Concepts:</h3>

Pre-Algebra

<h3>Order of Operations: BPEMDAS</h3>

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

-15x + 4 ≤ 39

Step 2: Solve for x

Subtract 4 on both sides: -15x ≤ 35

Divide -15 on both sides: x ≥ -7/3

Here we see that any value x greater than or equal to -7/3 would work as a solution to the inequality.

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Simplify: square root of 81+18<img src="https://tex.z-dn.net/?f=%5Csqrt%7B7%7D" id="TexFormula1" title="\sqrt{7}" alt="\sqrt{7}"

Lemur [1.5K]

$\sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7}$

Factor the indicated expression:

$\sqrt{(9 \: + \: \sqrt{7} ) ^{2} }$

Simplified the index, the root and also the exponent using the number 2.

$\boxed{ \bold{9 \: + \: \sqrt{7} }}$

<h3><em><u>MissSpanish</u></em> </h3>

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1 year ago

A seventh-grade teacher asks her students a survey question. Which questions are appropriate for the teacher to ask her

zzz [600]

Answer:

How many hours of sleep do you get per night?

On average, how long does it take you to complete your homework?

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Who is faster? A girl who runs 200 meters in 28 seconds or her friend who runs 400 meters in 60 seconds? H.E.L.P

blagie [28]

Answer: The girl herself ran faster than her friend.

Step-by-step explanation:

This answer, of course assumes a lot of variables, but for the sake of keeping things simple, lets assume the following, the people are ran in a "straight line" with no "obstacles" in their way, and ran on the same track.

Calculating in meters-per-second for the girl who ran 200 meters in 28 seconds, you get 7.14285714286 meters per second

Calculating in meters-per-second for the girl who ran 400 meters in 60 seconds, you get 6.66666666667 meters per second

Comparing the two results, it can be "accurately" concluded that the girl herself ran faster than her friend under the following assumptions earlier stated.

4 0

2 years ago

How to write 65 trillion

Travka [436]

65 trillion can be written as

65,000,000,000,000

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2 years ago

Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio

Tom [10]

Answer:

0.96 = 96% probability that at least one of them detect an enemy attack.

Step-by-step explanation:

For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that a particular detection system has a 0.80 probability of detecting a missile attack.

This means that $p = 0.8$

If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is

This is $P(X \geq 1)$ when $n = 2$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96$

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0

2 years ago